cgmath/tests/vector4f32.rs

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// Copyright 2013-2014 The CGMath Developers. For a full listing of the authors,
// refer to the Cargo.toml file at the top-level directory of this distribution.
//
// Licensed under the Apache License, Version 2.0f32 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0f32
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#[macro_use]
extern crate approx;
extern crate cgmath;
use cgmath::*;
use std::f32;
#[test]
fn test_constructor() {
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assert_eq!(
vec4(1f32, 2f32, 3f32, 4f32),
Vector4::new(1f32, 2f32, 3f32, 4f32)
);
}
#[test]
fn test_from_value() {
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assert_eq!(
Vector4::from_value(76.5f32),
Vector4::new(76.5f32, 76.5f32, 76.5f32, 76.5f32)
);
}
macro_rules! impl_test_add {
($VectorN:ident { $($field:ident),+ }, $s:expr, $v:expr) => (
// vector + vector ops
assert_eq!($v + $v, $VectorN::new($($v.$field + $v.$field),+));
assert_eq!(&$v + &$v, $v + $v);
assert_eq!(&$v + $v, $v + $v);
assert_eq!($v + &$v, $v + $v);
)
}
macro_rules! impl_test_sub {
($VectorN:ident { $($field:ident),+ }, $s:expr, $v:expr) => (
// vector - vector ops
assert_eq!($v - $v, $VectorN::new($($v.$field - $v.$field),+));
assert_eq!(&$v - &$v, $v - $v);
assert_eq!(&$v - $v, $v - $v);
assert_eq!($v - &$v, $v - $v);
)
}
macro_rules! impl_test_mul {
($VectorN:ident { $($field:ident),+ }, $s:expr, $v:expr) => (
// vector * scalar ops
assert_eq!($v * $s, $VectorN::new($($v.$field * $s),+));
assert_eq!($s * $v, $VectorN::new($($s * $v.$field),+));
assert_eq!(&$v * $s, $v * $s);
assert_eq!($s * &$v, $s * $v);
// commutativity
assert_eq!($v * $s, $s * $v);
)
}
macro_rules! impl_test_div {
($VectorN:ident { $($field:ident),+ }, $s:expr, $v:expr) => (
// vector / scalar ops
assert_eq!($v / $s, $VectorN::new($($v.$field / $s),+));
assert_eq!($s / $v, $VectorN::new($($s / $v.$field),+));
assert_eq!(&$v / $s, $v / $s);
assert_eq!($s / &$v, $s / $v);
)
}
macro_rules! impl_test_rem {
($VectorN:ident { $($field:ident),+ }, $s:expr, $v:expr) => (
// vector % scalar ops
assert_eq!($v % $s, $VectorN::new($($v.$field % $s),+));
assert_eq!($s % $v, $VectorN::new($($s % $v.$field),+));
assert_eq!(&$v % $s, $v % $s);
assert_eq!($s % &$v, $s % $v);
)
}
#[test]
fn test_add() {
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impl_test_add!(
Vector4 { x, y, z, w },
2.0f32,
vec4(2.0f32, 4.0f32, 6.0f32, 8.0f32)
);
}
#[test]
fn test_sub() {
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impl_test_sub!(
Vector4 { x, y, z, w },
2.0f32,
vec4(2.0f32, 4.0f32, 6.0f32, 8.0f32)
);
}
#[test]
fn test_mul() {
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impl_test_mul!(
Vector4 { x, y, z, w },
2.0f32,
vec4(2.0f32, 4.0f32, 6.0f32, 8.0f32)
);
}
#[test]
fn test_div() {
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impl_test_div!(
Vector4 { x, y, z, w },
2.0f32,
vec4(2.0f32, 4.0f32, 6.0f32, 8.0f32)
);
}
#[test]
fn test_rem() {
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impl_test_rem!(
Vector4 { x, y, z, w },
2.0f32,
vec4(2.0f32, 4.0f32, 6.0f32, 8.0f32)
);
}
#[test]
fn test_dot() {
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assert_eq!(
Vector4::new(1.0f32, 2.0f32, 3.0f32, 4.0f32).dot(Vector4::new(
5.0f32,
6.0f32,
7.0f32,
8.0f32
)),
70.0f32
);
}
#[test]
fn test_sum() {
assert_eq!(Vector4::new(1f32, 2f32, 3f32, 4f32).sum(), 10f32);
assert_eq!(Vector4::new(5.0f32, 6.0f32, 7.0f32, 8.0f32).sum(), 26.0f32);
}
#[test]
fn test_product() {
assert_eq!(Vector4::new(1f32, 2f32, 3f32, 4f32).product(), 24f32);
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assert_eq!(
Vector4::new(5.0f32, 6.0f32, 7.0f32, 8.0f32).product(),
1680.0f32
);
}
#[test]
fn test_is_perpendicular() {
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assert!(
Vector4::new(1.0f32, 0.0f32, 0.0f32, 0.0f32).is_perpendicular(Vector4::new(
0.0f32,
0.0f32,
0.0f32,
1.0f32
))
);
}
#[cfg(test)]
mod test_magnitude {
use cgmath::*;
#[test]
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fn test_vector4() {
let (a, a_res) = (Vector4::new(1.0f32, 2.0f32, 4.0f32, 10.0f32), 11.0f32); // (1, 2, 4, 10, 11) Pythagorean quintuple
let (b, b_res) = (Vector4::new(1.0f32, 2.0f32, 8.0f32, 10.0f32), 13.0f32); // (1, 2, 8, 10, 13) Pythagorean quintuple
assert_eq!(a.magnitude2(), a_res * a_res);
assert_eq!(b.magnitude2(), b_res * b_res);
assert_eq!(a.magnitude(), a_res);
assert_eq!(b.magnitude(), b_res);
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#[cfg(feature = "simd")]
{
let a = Vector4::new(1f32, 4f32, 9f32, 16f32);
assert_ulps_eq!(a.sqrt_element_wide(), Vector4::new(1f32, 2f32, 3f32, 4f32));
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assert_relative_eq!(
a.sqrt_element_wide().recip_element_wide(),
Vector4::new(1f32, 1f32 / 2f32, 1f32 / 3f32, 1f32 / 4f32),
max_relative = 0.005f32
);
assert_relative_eq!(
a.rsqrt_element_wide(),
Vector4::new(1f32, 1f32 / 2f32, 1f32 / 3f32, 1f32 / 4f32),
max_relative = 0.005f32
);
}
}
}
#[test]
fn test_angle() {
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assert_ulps_eq!(
Vector4::new(1.0f32, 0.0f32, 1.0f32, 0.0f32).angle(Vector4::new(
0.0f32,
1.0f32,
0.0f32,
1.0f32
)),
&Rad(f32::consts::FRAC_PI_2)
);
assert_ulps_eq!(
Vector4::new(10.0f32, 0.0f32, 10.0f32, 0.0f32).angle(Vector4::new(
0.0f32,
5.0f32,
0.0f32,
5.0f32
)),
&Rad(f32::consts::FRAC_PI_2)
);
assert_ulps_eq!(
Vector4::new(-1.0f32, 0.0f32, -1.0f32, 0.0f32).angle(Vector4::new(
0.0f32,
1.0f32,
0.0f32,
1.0f32
)),
&Rad(f32::consts::FRAC_PI_2)
);
}
#[test]
fn test_normalize() {
// TODO: test normalize_to, normalize_sel.0f32, and normalize_self_to
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assert_ulps_eq!(
Vector4::new(1.0f32, 2.0f32, 4.0f32, 10.0f32).normalize(),
&Vector4::new(
1.0f32 / 11.0f32,
2.0f32 / 11.0f32,
4.0f32 / 11.0f32,
10.0f32 / 11.0f32
)
);
}
#[test]
fn test_cast() {
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assert_ulps_eq!(
Vector4::new(13.5f32, -4.6, -8.3, 2.41).cast().unwrap(),
Vector4::new(13.5f32, -4.6, -8.3, 2.41)
);
}